Problem Solving in Mathematics and Beyond最新文献

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Numeration Systems 计算系统
Problem Solving in Mathematics and Beyond Pub Date : 2019-06-06 DOI: 10.1142/9789813274822_0002
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引用次数: 14
Binary Operations 二元运算
Problem Solving in Mathematics and Beyond Pub Date : 2019-06-06 DOI: 10.1142/9789813274822_0003
Czesław Byli´nski
{"title":"Binary Operations","authors":"Czesław Byli´nski","doi":"10.1142/9789813274822_0003","DOIUrl":"https://doi.org/10.1142/9789813274822_0003","url":null,"abstract":"Let A be a set. A unary operation on A is a function fromA into A. A binary operation onA is a function from[:A, A:] into A. We adopt the following convention: u is a unary operation on A, o, o′ are binary operations on A, anda, b, c, e, e1, e2 are elements of A. In this article we present several logical schemes. The scheme BinOpExdeals with a non empty setA and a ternary predicate P , and states that: There exists a binary operation o on A such that for all elements a, b of A holds P [a,b,o(a, b)] provided the following condition is satisfied: • For all elementsx, y of A there exists an element z of A such thatP [x,y,z]. The schemeBinOpLambdadeals with a non empty set A and a binary functor F yielding an element ofA , and states that: There exists a binary operationonA such that for all elements a, b of A holdso(a, b) = F (a,b) for all values of the parameters. Let us consider A, o. We say that o is commutative if and only if:","PeriodicalId":177228,"journal":{"name":"Problem Solving in Mathematics and Beyond","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122794946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 44
The Psychology of Problem Solving 解决问题的心理学
Problem Solving in Mathematics and Beyond Pub Date : 2019-04-22 DOI: 10.1142/11426
Alfred S. Posamentier, Gary Kose, Danielle Sauro Virgadamo, Kathleen Keefe-Cooperman
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引用次数: 0
Tools to Help Your Children Learn Math 帮助孩子学习数学的工具
Problem Solving in Mathematics and Beyond Pub Date : 2019-03-13 DOI: 10.1142/11019
Alfred S. Posamentier, Gavrielle Levine, Aaron Lieberman, Danielle Sauro Virgadamo
{"title":"Tools to Help Your Children Learn Math","authors":"Alfred S. Posamentier, Gavrielle Levine, Aaron Lieberman, Danielle Sauro Virgadamo","doi":"10.1142/11019","DOIUrl":"https://doi.org/10.1142/11019","url":null,"abstract":"","PeriodicalId":177228,"journal":{"name":"Problem Solving in Mathematics and Beyond","volume":"9 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120908409","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Hot Hand 热手
Problem Solving in Mathematics and Beyond Pub Date : 2018-06-27 DOI: 10.1142/9789813231573_0015
{"title":"The Hot Hand","authors":"","doi":"10.1142/9789813231573_0015","DOIUrl":"https://doi.org/10.1142/9789813231573_0015","url":null,"abstract":"","PeriodicalId":177228,"journal":{"name":"Problem Solving in Mathematics and Beyond","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132065916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Understanding Zero 理解零
Problem Solving in Mathematics and Beyond Pub Date : 2018-06-07 DOI: 10.1126/science.360.6393.1082-q
S. Vignieri
{"title":"Understanding Zero","authors":"S. Vignieri","doi":"10.1126/science.360.6393.1082-q","DOIUrl":"https://doi.org/10.1126/science.360.6393.1082-q","url":null,"abstract":"","PeriodicalId":177228,"journal":{"name":"Problem Solving in Mathematics and Beyond","volume":"150 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134065344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
FRONT MATTER 前页
Problem Solving in Mathematics and Beyond Pub Date : 1939-10-01 DOI: 10.1142/9789811237119_fmatter
Ruwa Jurai
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引用次数: 0
Mathematics: Its Historical Aspects, Wonders and Beyond 数学:它的历史方面,奇迹和超越
Problem Solving in Mathematics and Beyond Pub Date : 1900-01-01 DOI: 10.1142/12594
Alfred S. Posamentier, A. Kramer
{"title":"Mathematics: Its Historical Aspects, Wonders and Beyond","authors":"Alfred S. Posamentier, A. Kramer","doi":"10.1142/12594","DOIUrl":"https://doi.org/10.1142/12594","url":null,"abstract":"","PeriodicalId":177228,"journal":{"name":"Problem Solving in Mathematics and Beyond","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122205773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Creative Secondary School Mathematics 创意中学数学
Problem Solving in Mathematics and Beyond Pub Date : 1900-01-01 DOI: 10.1142/12373
Alfred S. Posamentier
{"title":"Creative Secondary School Mathematics","authors":"Alfred S. Posamentier","doi":"10.1142/12373","DOIUrl":"https://doi.org/10.1142/12373","url":null,"abstract":"","PeriodicalId":177228,"journal":{"name":"Problem Solving in Mathematics and Beyond","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115913878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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